Jaycee's department store chain is planning to open a new store. It needs to decide how to allocate the $100,000$ square feet of available floor space among seven departments. The accompanying data includes the expected performance of each department per month, in terms of square feet $($sf$).$ The company has gathered $$20$ million to invest in floor stock. The risk column is a measure of risk associated with investment in floor stock based on past date from other stores and accounts for outdated inventory, pilferage, breakage, and se on$.$ For instance. electronics ioses $24\%$ of its tolsi investmert, fumiture ioses $12\%$ of its total investment, and so on$.$ The amourt of rest aheuits be ne more than $10\%$ of the total investment. Assume that it is net required that the entire available floor space be used. Answer parts a and b befow.

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